{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 凝聚聚类\n",
    "<p>凝聚聚类指的是许多基于相同原则构建地聚类算法，这一算法地思想是:首先声明每个点都是自己的簇,然后合并两个<strong>最相似</strong>的簇，直到满足某种停止规则为止（停止规则:簇的个数） </p>\n",
    "<p>最相似的度量</p>\n",
    "<ul>\n",
    "    <LI>ward:默认选项。ward挑选两个簇来合并,使得所有簇中的方差增加最小,这通常会获得大小差不多相等的簇</LI>\n",
    "    <LI>average:将簇中所有点之间平均距离最小的两个簇合并</LI>\n",
    "    <li>complete(也称为最大链接):将簇中点之间最大距离最小的两个簇合并</li>\n",
    "</ul>\n",
    "<p>我们使用ward的度量方式</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x576 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二维数据集上的凝聚聚类过程\n",
    "import mglearn\n",
    "mglearn.plots.plot_agglomerative_algorithm()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Feature 1')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 实现凝聚聚类\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "import mglearn\n",
    "import matplotlib.pyplot as plt\n",
    "X,y = make_blobs(random_state=1)\n",
    "agg = AgglomerativeClustering(n_clusters=3)\n",
    "assignment = agg.fit_predict(X) # 因为算法工作原理,凝聚算法不能对新数据点做出预测，所以没有predict方法\n",
    "                                # 但可使用fit_predict方法，我们也可以用labels_属性获取簇标签    \n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],assignment)\n",
    "plt.xlabel('Feature 0')\n",
    "plt.xlabel('Feature 1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mglearn.plots.plot_agglomerative() # 展现凝聚聚类(层次聚类的簇分配)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
